3 papers
math.CO2025
Further generalization of central sets theorem for partial semigroups and vip systems
Anik Pramanick, MD Mursalim Saikh
The Central Sets Theorem, a fundamental result in Ramsey theory, is a joint extension of both Hindman's theorem and van der Waerden's theorem. It was originally introduced by H. Fu…
math.CO2025
Generalized central sets theorem for partial semigroups and vip systems
Anik Pramanick, MD Mursalim Saikh
The Central sets theorem was first introduced by H. Furstenberg [F] in terms of Dynamical systems. Later Hindman and Bergelson extended the theorem using Stone-ech compactifica…
math.CO2024
Multidimensional central sets theorem near zero
Anik Pramanick, Md Mursalim Saikh
In [B] Beiglböck gave a Multidimension Central sets theorem. Recently, [GP] extended this result for polynomials. They proved the Multidimensional Polynomial Central sets theorem.…